There are apps that are intuitive and helpful. I've used this one below. Can enter any CC permits and it'll tell you where you're legal. Click on the state and there's a lot of resources and items to click on. Clicking in prohibited places for Ohio brings up the statute listed above. Thinks it's only a dollar and updates with changing laws over the year subscription.
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I am the author of that app. Thank you for recommending it! As the laws change, it's updated 1x or 2x every month (and occasionally even more frequently), & pushes the updates automatically when you open the app to keep you up-to-date. Available both on iPhone and Android.
To the OP:
As has been noted above, whether "no guns" signs have force of law varies widely state to state. Indiana is among the best. For Ohio, the law is:
2923.126 Duties of licensed individual.
(3) (a) Except as provided in division (C)(3)(b) of this section, the owner or person in control of private land or premises, and a private person or entity leasing land or premises owned by the state, the United States, or a political subdivision of the state or the United States, may post a sign in a conspicuous location on that land or on those premises prohibiting persons from carrying firearms or concealed firearms on or onto that land or those premises. Except as otherwise provided in this division, a person who knowingly violates a posted prohibition of that nature is guilty of criminal trespass in violation of division (A)(4) of section 2911.21 of the Revised Code and is guilty of a misdemeanor of the fourth degree. If a person knowingly violates a posted prohibition of that nature and the posted land or premises primarily was a parking lot or other parking facility, the person is not guilty of criminal trespass in violation of division (A)(4) of section 2911.21 of the Revised Code and instead is subject only to a civil cause of action for trespass based on the violation.
and
Sec. 2923.1212.
(A) Each person, board, or entity that owns or controls any place or premises identified in division (B) of section 2923.126 of the Revised Code as a place into which a valid license does not authorize the licensee to carry a concealed handgun, or a designee of such a person, board, or entity , shall post in one or more conspicuous locations in the premises a sign that contains a statement in substantially the following form: "Unless otherwise authorized by law, pursuant to the Ohio Revised Code, no person shall knowingly possess, have under the person's control, convey, or attempt to convey a deadly weapon or dangerous ordnance onto these premises